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VERSION:2.0
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CATEGORIES:Academics,Natural & Applied Sciences Division,Mathematics and St
atistics
DESCRIPTION:"Arithmetic and Geometric Means form Jellyfish Swarms of Curves
" by Ken Ono\nClassical work of Euler and Gauss on "Arithmetic and Geometri
c Means” (AGM) produces wonderful rapidly convergent sequences with common
limit. Euler’s famous formula for pi is an extraordinary example. Here the
speaker will introduce the AGM for finite fields\, where finite directed gr
aphs are spawned in lieu of infinite sequences. The collection of these gra
phs reminds one of a jellyfish swarm\, as the 3D renderings of the connecte
d components resemble jellyfish (i.e.\, tentacles connected to a bell head)
. These swarms turn out to be more than the stuff of child’s play\; they ar
e taxonomical devices in number theory. Each jellyfish is an isogeny graph
of elliptic curves\, and this interpretation gives a striking description o
f Gauss's class numbers as counts of spots on these jellyfish.\n \nAbout th
e Speaker\nKen Ono is the Thomas Jefferson Professor of Mathematics at the
University of Virginia and the Chair of Mathematics at the American Associa
tion for the Advancement of Science. He has published over 200 research art
icles in number theory. Professor Ono has received many awards for his rese
arch\, including a Guggenheim Fellowship\, a Packard Fellowship and a Sloan
Fellowship. He was awarded a Presidential Early Career Award for Science a
nd Engineering (PECASE) by Bill Clinton in 2000\, and he was named the Nati
onal Science Foundation's Distinguished Teaching Scholar in 2005. He was an
associate producer of the 2016 Hollywood film The Man Who Knew Infinity\,
which starred Jeremy Irons and Dev Patel. Earlier this year he put his math
skills to work in a Super Bowl week commercial for Miller Lite beer.
DTEND:20221021T000000Z
DTSTAMP:20230129T200820Z
DTSTART:20221020T230000Z
GEO:42.787588;-86.106797
LOCATION:VanderWerf Hall\, 102
SEQUENCE:0
SUMMARY:Mathematics and Statistics Colloquium: Ken Ono
UID:tag:localist.com\,2008:EventInstance_41235224119075
URL:https://calendar.hope.edu/event/mathematics_and_statistics_colloquium_k
en_ono
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